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Finding the Third Proportional to 46,264 and 99,085

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Solution

The third proportional to 46,264 and 99,085 is: 212,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,264 : 99,085 = 99,085 : x
  2. Step 2: Convert to fraction form
    46,264/99,085 = 99,085/x
  3. Step 3: Cross multiply
    46,264x = 99,085 × 99,085
  4. Step 4: Simplify right side
    46,264x = 9,817,837,225
  5. Step 5: Solve for x
    x = 9,817,837,225/46,264
  6. Step 6: Final answer
    x = 212,213.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.